2005928064 has 448 divisors, whose sum is σ = 7117266240. Its totient is φ = 550914048.

The previous prime is 2005928063. The next prime is 2005928069. The reversal of 2005928064 is 4608295002.

It is a happy number.

2005928064 is a `hidden beast` number, since 2 + 0 + 0 + 592 + 8 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2005928063) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24167767 + ... + 24167849.

It is an arithmetic number, because the mean of its divisors is an integer number (15886755).

Almost surely, 2^2005928064 is an apocalyptic number.

2005928064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558633120).

2005928064 is an abundant number, since it is smaller than the sum of its proper divisors (5111338176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005928064 is an frugal number, since it uses more digits than its factorization.

2005928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2005928064 is about 44787.5882806833. The cubic root of 2005928064 is about 1261.1646374616.

The spelling of 2005928064 in words is "two billion, five million, nine hundred twenty-eight thousand, sixty-four".